Mathematics, 21.04.2020 22:25 catherine51

The world's smallest mammal is the bumblebee bat. The mean weight of 40 randomly selected bumblebee bats is 1.659 grams, with a standard deviation of 0.264 grams.

Dr. Clifford Jones claims that the mean weight of bumblebee bats is 1.7 grams. We are interested in whether it's less than he claims. Using the t-distribution technique, is there evidence that bumblebee bats weight less on average than he claims, at each of the following levels?

The degrees of freedom are df =

The test-statistic t = (positive version of t, three places after decimal) =

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Answer from: netflixacc0107

The calculated 't' value = 0.9822

The degrees of freedom = n-1 =40-1 =39

The calculated 't' value = 0.9822< 2.0192 at 95% level of significance with 39 degrees of freedom.

Null hypothesis is accepted at 95% level of significance.

There is evidence that bumblebee bats weight less on average than he claims.

Step-by-step explanation:

Step:- (1)

Given the mean weight of 40 randomly selected bumblebee bats is 1.659 grams, with a standard deviation of 0.264 grams.

Given sample size 'n' = 40

mean of the sample x⁻ = 1.659 grams

Standard deviation of the sample 'S' = 0.264 grams

Dr. Clifford Jones claims that the mean weight of bumblebee bats is 1.7 grams.

Population mean 'μ' = 1.7grams

Step:-(2)

Null hypothesis: H₀: There is evidence that bumblebee bats weight less on average than he claims.

Alternative hypothesis : H₁ :- There is no evidence that bumblebee bats weight less on average than he claims.

The degrees of freedom γ= n-1 =40-1 =39

we will choose level of significance = 0.95 0r 0.05

Step:-(3)

The test statistic

$t= \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }$

$t= \frac{1.659-1.70 }{\frac{0.264}{\sqrt{40} } }$

t = -0.9822

|t|=|-0.9822|

t = 0.9822

The calculated 't' value = 0.9822

The tabulated value t = 2.0192 at 95% level of significance.

The calculated 't' value = 0.9822 < 2.024 at 95% level of significance with 39 degrees of freedom.

Null hypothesis is accepted at 95% level of significance.

Conclusion:-

There is evidence that bumblebee bats weight less on average than he claims.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

the correct answer is semicircle

step-by-step explanation:

the answer is semicircle because the shorter arc joining two points on the circumference of a circle is known as the minor arc, the larger arc is called the major arc, and a semicircle is a half circle, formed by cutting a whole circle along a diameter line.

hope i .

[will give brainliest] given o below, is pq a minor arc, a major arc, or a semicircle?

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The world's smallest mammal is the bumblebee bat. The mean weight of 40 randomly selected bumblebee...

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